Search a number
-
+
13321211310 = 23251113455769
BaseRepresentation
bin11000110100000000…
…11000110110101110
31021101101012122112200
430122000120312232
5204240212230220
610041503442330
7651053266521
oct143200306656
937341178480
1013321211310
115716527250
1226b92b63a6
131343ab8374
149052a0bb8
1552e750890
hex31a018dae

13321211310 has 48 divisors (see below), whose sum is σ = 37783802160. Its totient is φ = 3229384320.

The previous prime is 13321211297. The next prime is 13321211389. The reversal of 13321211310 is 1311212331.

13321211310 is a `hidden beast` number, since 1 + 332 + 1 + 21 + 1 + 310 = 666.

It is a super-2 number, since 2×133212113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726895 + ... + 6728874.

It is an arithmetic number, because the mean of its divisors is an integer number (787162545).

Almost surely, 213321211310 is an apocalyptic number.

13321211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13321211310 is an abundant number, since it is smaller than the sum of its proper divisors (24462590850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13321211310 is a wasteful number, since it uses less digits than its factorization.

13321211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455793 (or 13455790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321211310 its reverse (1311212331), we get a palindrome (14632423641).

The spelling of 13321211310 in words is "thirteen billion, three hundred twenty-one million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 13455769 26911538 40367307 67278845 80734614 121101921 134557690 148013459 201836535 242203842 296026918 403673070 444040377 605509605 740067295 888080754 1211019210 1332121131 1480134590 2220201885 2664242262 4440403770 6660605655 13321211310